Are you serious? Why can't someone be a technician and an instructor? The "factory" is the manufacturer, typical for lots of industries where the people who designed and built the equipment then go and train the technicians.
Yes, I am serious. Someone CAN be both an Instructor and a Techician, I am both myself. I take offense with the fact that they are saying there is something like a "Factory trained instructor"!
A "Factory trained technician" is who I want assembling my gear, not an instructor trained at an imaginary "Instructor factory".